Vortex-induced chaotic mixing in wavy channels

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dc.contributor.author Lee, Wei-Koon
dc.contributor.author Taylor, P. H.
dc.contributor.author Borthwick, Alistair G. L.
dc.contributor.author Chuenkum, S.
dc.date.accessioned 2012-01-04T13:04:34Z
dc.date.available 2012-01-04T13:04:34Z
dc.date.issued 2010-07-10
dc.identifier.citation WEI-KOON LEE, P. H. TAYLOR, A. G. L. BORTHWICK and S. CHUENKHUM (2010). Vortex-induced chaotic mixing in wavy channels. Journal of Fluid Mechanics, 654 , pp 501-538 doi:10.1017/S0022112010000674 en
dc.identifier.volume 654 en
dc.identifier.startpage 101 en
dc.identifier.endpage 138 en
dc.identifier.issn 0022-1120
dc.identifier.issn 1469-7645
dc.identifier.uri http://hdl.handle.net/10468/484
dc.identifier.doi 10.1017/S0022112010000674
dc.description.abstract Mixing is studied in open-flow channels with conformally mapped wavy-wall profiles, using a point-vortex model in two-dimensional irrotational, incompressible mean flow. Unsteady dynamics of the separation bubble induced by oscillatory motion of point vortices located in the trough region produces chaotic mixing in the Lagrangian sense. Significant mass exchange between passive tracer particles inside and outside of the separation bubble forms an efficient mixing region which evolves in size as the vortex moves in the unsteady potential flow. The dynamics closely resembles that obtained by previous authors from numerical solutions of the unsteady Navier–Stokes equations for oscillatory unidirectional flow in a wavy channel. Of the wavy channels considered, the skew-symmetric form is most efficient at promoting passive mixing. Diffusion via gridless random walks increases lateral particle dispersion significantly at the expense of longitudinal particle dispersion due to the opposing effect of mass exchange at the front and rear of the particle ensemble. Active mixing in the wavy channel reveals that the fractal nature of the unstable manifold plays a crucial role in singular enhancement of productivity. Hyperbolic dynamics dominate over nonhyperbolicity which is restricted to the vortex core region. The model is simple yet qualitatively accurate, making it a potential candidate for the study of a wide range of vortex-induced transport and mixing problems. en
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher Cambridge University Press en
dc.rights © Cambridge University Press 2010 en
dc.subject Wavy channel en
dc.subject Separation bubble en
dc.subject Wavy-wall en
dc.subject Flow en
dc.subject.lcsh Fluid dynamics en
dc.subject.lcsh Vortex-motion en
dc.subject.lcsh Lagrange equations en
dc.subject.lcsh Equations of motion en
dc.title Vortex-induced chaotic mixing in wavy channels en
dc.type Article (peer-reviewed) en
dc.internal.authorurl http://publish.ucc.ie/researchprofiles/D012/aborthwick en
dc.internal.authorcontactother Alistair George Liam Borthwick, Civil Engineering, University College Cork, Cork, Ireland. +353-21-490-3000 Email: a.borthwick@ucc.ie en
dc.internal.availability Full text available en
dc.date.updated 2011-12-09T18:22:03Z
dc.description.version Published Version en
dc.internal.rssid 117322529
dc.contributor.funder Universiti Teknologi MARA, Malaysia en
dc.contributor.funder Ministry of Higher Education, Malaysia en
dc.description.status Peer reviewed en
dc.identifier.journaltitle Journal of Fluid Mechanics en
dc.internal.copyrightchecked Paper originally published while AGL Borthwick at Oxford so requested permission from CUP to archive in UCC IR, CORA. Permission granted by Claire Taylor, 19 Dec 2011. en
dc.internal.licenseacceptance Yes en
dc.internal.IRISemailaddress a.borthwick@ucc.ie en


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